13123224 has 96 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 4043520.

The previous prime is 13123219. The next prime is 13123237. The reversal of 13123224 is 42232131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13123197 and 13123206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72414 + ... + 72594.

Almost surely, 2^13123224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

13123224 is an abundant number, since it is smaller than the sum of its proper divisors (25205976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13123224 is a wasteful number, since it uses less digits than its factorization.

13123224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13123224 is about 3622.5990669684. The cubic root of 13123224 is about 235.8740590127.

Adding to 13123224 its reverse (42232131), we get a palindrome (55355355).

The spelling of 13123224 in words is "thirteen million, one hundred twenty-three thousand, two hundred twenty-four".